56408 has 16 divisors (see below), whose sum is σ = 115560. Its totient is φ = 25600.

The previous prime is 56401. The next prime is 56417. The reversal of 56408 is 80465.

56408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56401) by changing a digit.

56408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233 + ... + 408.

2⁵⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

56408 is an abundant number, since it is smaller than the sum of its proper divisors (59152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57780).

56408 is a wasteful number, since it uses less digits than its factorization.

56408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 56408 is about 237.5036841820. The cubic root of 56408 is about 38.3513127169.

It can be divided in two parts, 56 and 408, that added together give a palindrome (464).

The spelling of 56408 in words is "fifty-six thousand, four hundred eight".